For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
26
37
20
38
For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
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To find the median, the 1st quartile (Q1), and the 3rd quartile (Q3) for the data set {26, 37, 20, 38}, follow these steps:
1. Arrange the data in ascending order:
20, 26, 37, 38
2. Find the median:
Since there are 4 numbers, the median is the average of the 2nd and 3rd values.
Median = (26 + 37) / 2 = 53 / 2 = 26.5
3. Find the 1st quartile (Q1):
Q1 is the median of the lower half of the data (values less than the median).
The lower half is {20, 26}. Median of this = (20 + 26) / 2 = 23.
4. Find the 3rd quartile (Q3):
Q3 is the median of the upper half of the data (values greater than the median).
The upper half is {37, 38}. Median of this = (37 + 38) / 2 = 37.5.
So the final answers are:
– Median: 26.5
– 1st Quartile (Q1): 23
– 3rd Quartile (Q3): 37.5
I hope this